ACTA issues

## Commutativity in two-variable Jordan blocks on the Hardy space

Kei Ji Izuchi, Kou Hei Izuchi

Acta Sci. Math. (Szeged) 78:1-2(2012), 129-136
5/2011

 Abstract. Let \$M\$ be an invariant subspace of the Hardy space \$H^2\$ over the bidisk and \$N=H^2\ominus M\$. It is revisited the study of \$M\$ on which \$R_zR^*_w=R^*_wR_z\$ and of \$N\$ on which \$S_zS^*_w=S^*_wS_z\$. AMS Subject Classification (1991): 47A15, 32A35 Keyword(s): invariant subspace, backward shift invariant subspace, Hardy space, compression operator, two-variable Jordan blocks Received January 18, 2011, and in revised form March 16, 2011. (Registered under 5/2011.)